Everything stated so far is accurate. I would guess that the Rayovac charger is not a smart charger, but it would be otherwise decent. Some smart chargers will sense the charge state of each individual cell that you have plugged into it, and then they will apply more power to the weak ones. Most smart chargers will apply charging power until each cell of the set looks normal, and then the power tapers off. It will continue to apply a tiny pulse of charging power periodically until the cells are removed.
Lithium primary batteries are the lightest and work to the coldest temperatures. They have very high energy density, but they are the most expensive to purchase. Since they have a very long shelf life (10 years), they are good to put into some seldom-used emergency device. I use those when I am on a very long trip where I will not have any commercial AC power for chargers.
Some ordinary appliance like a headlamp that gets used routinely might work best with NiMH for cheap operation. NiMH has some self-discharge, which means that they are OK if you charge them, use them, and repeat the cycle routinely. If you charge them and leave them sitting for a long time, you might get a half-flat battery.
For me, a camera battery is kind of critical, so I don't fool around with cheap batteries.
Just about each different appliance has a different best solution, so you just have to try them out to see what works best for you.
–B.G.–